Prime p₀= 2176788549283989437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2176786417537680149	0 78 90 194 200 210 264 270 302 308 362 372 378 482 494 572	-2131746309288
SPT(16)	2176786598083387291	0 22 40 58 78 96 126 178 210 262 292 310 330 348 366 388	-1951200602146
STPT(10)	2176787540540441909	0 2 132 134 150 152 168 170 300 302	-1008743547528
SPT(16)	2176787873086975793	0 24 68 86 134 138 140 176 228 264 266 270 318 336 380 404	-676197013644
SPT(16)	2176787916058157569	0 10 30 70 114 124 144 172 180 208 228 238 282 322 342 352	-633225831868
SPT(16)	2176788410523318121	0 10 40 48 88 132 160 166 222 228 256 300 340 348 378 388	-138760671316
STPT(10)	2176788575216393057	0 2 12 14 132 134 252 254 264 266	25932403620
STPT(10)	2176788682909062317	0 2 30 32 42 44 54 56 84 86	133625072880
SPT(16)	2176788875120167247	0 44 56 62 90 92 114 234 272 392 414 416 444 450 462 506	325836177810
STPT(10)	2176789195220781767	0 2 90 92 132 134 174 176 264 266	645936792330
SPT(16)	2176789338186341237	0 2 20 24 36 42 60 80 126 146 164 170 182 186 204 206	788902351800